Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality | Paper Citation Record

Observation cf1a74af-5e0f-4f54-987b-ff88704a832c · outbound

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Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality channelized

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Observation dd09f96d-68f2-446c-9da6-998233f6ca18 · outbound

This paper cites With respect to this new Hamiltonian, the state ρ is equilibrium state.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality With respect to this new Hamiltonian, the state ρ is equilibrium state

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Observation 2cbc55dd-492a-48b2-b9fd-05f35828f9dd · outbound

This paper cites Since the state at the initial point of this process is at equilibrium, the state at the final point of the reversible process will be γβ.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Since the state at the initial point of this process is at equilibrium, the state at the final point of the reversible process will be γβ

Reference 3

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Observation 87818f08-5529-42a6-b3c5-a006bdbf5bb7 · outbound

This paper cites In the task of decoupling, the information stored as correlation gets erased and only local in- formation content on reduced states remain.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality In the task of decoupling, the information stored as correlation gets erased and only local in- formation content on reduced states remain

Reference 4

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Observation 3b44786f-9db3-4dae-890f-aea5ef9fa80f · outbound

This paper cites The extractable work during this process is given by W ext rev = −F eq T (γβ A).

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality The extractable work during this process is given by W ext rev = −F eq T (γβ A)

Reference 6

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This paper cites X x pxN x∥T β # = sup ψRA′ Dα X x pxN x(ψ)∥T β(ψ) ! (A31) ≤ sup ψRA′ X x pxDα(N x(ψ)∥T β(ψ)). (A32) Using the definition of free energy of channels, we have F β α.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality X x pxN x∥T β # = sup ψRA′ Dα X x pxN x(ψ)∥T β(ψ) ! (A31) ≤ sup ψRA′ X x pxDα(N x(ψ)∥T β(ψ)). (A32) Using the definition of free energy of channels, we have F β α

Reference 7

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Observation 18c38963-387f-4c2e-9a21-e5b8a6086b5b · outbound

This paper cites The sandwiched R´ enyi free energy F β α [N ], α ∈ [ 1 2 , ∞), is nonincreasing under the action of Gibbs- subpreserving superchannel.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality The sandwiched R´ enyi free energy F β α [N ], α ∈ [ 1 2 , ∞), is nonincreasing under the action of Gibbs- subpreserving superchannel

Reference 8

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Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Unresolved cited work

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This paper cites Dual :    maximize tr(Φ N RAXRA) subject to tr(( πA ⊗ γβ A)XRA) ≤ 1, XRA ≥ 0.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Dual :    maximize tr(Φ N RAXRA) subject to tr(( πA ⊗ γβ A)XRA) ≤ 1, XRA ≥ 0

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Observation 6cb6c85b-6e5a-4cc8-9dd0-34e2b72cb79d · outbound

This paper cites The max-free energy F β ∞[U ] of a unitary quan- tum channel UA′→A is F β ∞[U ] = β−1 ln tr h (γβ A) −1i.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality The max-free energy F β ∞[U ] of a unitary quan- tum channel UA′→A is F β ∞[U ] = β−1 ln tr h (γβ A) −1i

Reference 12

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Observation 7d7735dc-9db3-4ea4-826d-c566e806fc10 · outbound

This paper cites Given a unitary channel UA′→A, the mini- mum value of its max-free energy F β ∞[U ] is achieved for the output with trivial Hamiltonian, bHA = c1 A.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Given a unitary channel UA′→A, the mini- mum value of its max-free energy F β ∞[U ] is achieved for the output with trivial Hamiltonian, bHA = c1 A

Reference 14

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Observation 399eb3de-be8e-465b-b37a-ec409a5beb76 · outbound

This paper cites Bipartite Quantum Interactions: Entangling and Information Processing Abilities.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Bipartite Quantum Interactions: Entangling and Information Processing Abilities

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Observation ea20e349-c3b6-4909-837c-5c4f9a67f24e · outbound

This paper cites Proctor, K.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Proctor, K

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This paper cites Practical limitations on robustness and scalability of quantum Internet.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Practical limitations on robustness and scalability of quantum Internet

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Observation 3805ff84-4e1f-48e9-aa99-c7a8a80830ff · outbound

This paper cites Ho, Universal thermodynamics of degenerate quan- tum gases in the unitarity limit, Physical Review Letters 92, 090402 (2004).

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Ho, Universal thermodynamics of degenerate quan- tum gases in the unitarity limit, Physical Review Letters 92, 090402 (2004)

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Observation 4b84ff04-bbb5-492e-8cb0-16f21474913a · outbound

This paper cites Chu and J.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Chu and J

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This paper cites A resource theory of activity for quantum thermodynamics in the absence of heat baths.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality A resource theory of activity for quantum thermodynamics in the absence of heat baths

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This paper cites Singh, S.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Singh, S

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This paper cites Quantification of the energy consumption of entanglement distribution.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Quantification of the energy consumption of entanglement distribution

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Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Lostaglio, K

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Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Shiraishi and T

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Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Moroder, O

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Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Shiraishi and R

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Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Sagawa and M

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Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Campisi, P

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Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Navascu´ es and L

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Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Uzdin, A

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This paper cites Quantum Thermodynamics: An introduction to the thermodynamics of quantum information.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Quantum Thermodynamics: An introduction to the thermodynamics of quantum information

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This paper cites Gour, Resources of the quantum world (2024), arXiv:2402.05474 [quant-ph].

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Gour, Resources of the quantum world (2024), arXiv:2402.05474 [quant-ph]

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Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Gour and M

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Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Pandey, U

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Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Das and M

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Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Conditional entropy and information of quantum processes

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Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Maximum entropy principle for quantum processes

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Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Skrzypczyk, A

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Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality One-shot dynamical resource theory

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Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Maillet, P

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Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Erasure cost of a quantum process: A thermodynamic meaning of the dynamical min-entropy

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Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Hiai and D

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Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Gerisch, Internal symmetries and limiting Gibbs states in quantum lattice mean-field theories, Physica A: Sta- tistical Mechanics and its Applications 197, 284 (1993)

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Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Jarzynski Relations for Quantum Systems and Some Applications

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Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Morningstar, D

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Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Bergamaschi and C.-F

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Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Goldstein, J

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Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Linden, S

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This paper cites Hallam, J.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Hallam, J

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Observation 0ee4f22c-c11f-49fe-9113-c3b869199b79 · outbound

This paper cites Badhani, D.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Badhani, D

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Observation 09591080-b7e6-438c-a4e7-d70859e60b9d · outbound

This paper cites Chiribella, G.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Chiribella, G

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Observation 47429eb0-1a60-4701-9b44-fbd63e2a6170 · outbound

This paper cites Leditzky, E.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Leditzky, E

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Observation 87e35114-d151-4e4f-9e46-a972472e36a3 · outbound

This paper cites Quantum Information Processing with Finite Resources -- Mathematical Foundations.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Quantum Information Processing with Finite Resources -- Mathematical Foundations

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Observation 3b3ed925-2624-4502-b2b3-c5399ed2757a · outbound

This paper cites Strong converse for the classical capacity of entanglement-breaking and Hadamard channels via a sandwiched Renyi relative entropy.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Strong converse for the classical capacity of entanglement-breaking and Hadamard channels via a sandwiched Renyi relative entropy

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Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Datta, Min- and max-relative entropies and a new entanglement monotone, IEEE Transactions on Informa- tion Theory 55, 2816 (2009)

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Observation f74f238c-babf-44e6-ac3a-28503bb324cf · outbound

This paper cites Wang and R.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Wang and R

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Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Lenard, Thermodynamical proof of the Gibbs formula for elementary quantum systems, Journal of Statistical Physics 19, 575 (1978)

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Observation 99385649-13b0-4284-b74f-26da81999ac5 · outbound

This paper cites an unresolved cited work.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Unresolved cited work

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Resolution: unresolved; no resolver link, observed 2026-08-04T10:05:17.141553Z

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Observation 36a2b280-1b37-4a6a-9ba2-2f7edc548bb1 · outbound

This paper cites an unresolved cited work.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Unresolved cited work

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Resolution: unresolved; no resolver link, observed 2026-08-04T10:05:17.336011Z

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Observation b06689e5-2c8b-48c3-9622-e05f52528b63 · outbound

This paper cites Devetak, M.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Devetak, M

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Observation 99bb022a-945d-4636-ace2-27b76150e82f · outbound

This paper cites Fawzi, L.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Fawzi, L

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Resolution: verified exact; doi, observed 2026-08-04T10:08:34.757183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1e6921a6-c532-480a-b3ab-a16dfa712ca8 · outbound

This paper cites an unresolved cited work.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Unresolved cited work

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Resolution: unresolved; no resolver link, observed 2026-08-04T10:05:17.709615Z

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Observation cd6250f7-a0f3-48f7-8077-752fe06d8bbb · outbound

This paper cites Resource theories of quantum channels and the universal role of resource erasure.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Resource theories of quantum channels and the universal role of resource erasure

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Observation ceafc9a0-e254-43f4-b0c8-68f661f3b841 · outbound

This paper cites Schumacher, Sending entanglement through noisy quantum channels, Physical Review A 54, 2614 (1996).

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Schumacher, Sending entanglement through noisy quantum channels, Physical Review A 54, 2614 (1996)

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Observation a9d410a2-f2e0-422d-92e7-c65c46fa0811 · outbound

This paper cites Abeyesinghe, I.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Abeyesinghe, I

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Observation 083a6e90-3b59-4d65-82b3-4129f54e0786 · outbound

This paper cites Devetak and A.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Devetak and A

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Resolution: unresolved; no resolver link, observed 2026-08-04T10:05:18.092791Z

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Observation f32a95ca-49ef-40c3-bd66-6fb2438f88a3 · outbound

This paper cites an unresolved cited work.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Unresolved cited work

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Resolution: verified exact; doi, observed 2026-08-04T10:08:34.085304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d8f519be-e85b-4d85-9af7-2edbf0459323 · outbound

This paper cites Strong converse exponents for a quantum channel discrimination problem and quantum-feedback-assisted communication.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Strong converse exponents for a quantum channel discrimination problem and quantum-feedback-assisted communication

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Observation c8eec522-1242-4b80-b363-dc223e92062d · outbound

This paper cites Das and M.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Das and M

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Observation 9fa5eadc-62c7-464a-9392-f44f5b27ee1c · outbound

This paper cites an unresolved cited work.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Unresolved cited work

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Observation afdb003a-daa4-44b6-a9cf-1626126faef0 · outbound

This paper cites Infinite Dimensional Asymmetric Quantum Channel Discrimination.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Infinite Dimensional Asymmetric Quantum Channel Discrimination

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Observation 36375d85-34ea-4177-ac05-00a973ec48b7 · outbound

This paper cites Cost of quantum secret key.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Cost of quantum secret key

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Observation 5ad189a1-a1d7-40bc-a4f7-e62864d238bd · outbound

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Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Faist, M

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Observation 03646213-0f99-4475-8e6a-4e7684b3909e · outbound

This paper cites Horodecki, P.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Horodecki, P

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Observation 446c969f-e0f0-4b8f-ae81-2f9244a3cff9 · outbound

This paper cites an unresolved cited work.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Unresolved cited work

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Observation 03872144-d5cc-421f-887c-02a68fdf9db1 · outbound

This paper cites Mohan, S.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Mohan, S

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Observation 2c22bcd3-898a-4f8e-bed8-81fb6b6555ae · outbound

This paper cites Fundamental limits for thermodynamic control with quantum feedback.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Fundamental limits for thermodynamic control with quantum feedback

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Observation 19662d5e-f813-4f13-8e07-af31ce3d7d38 · outbound

This paper cites Groisman, S.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Groisman, S

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Observation 01978dcf-a558-44e6-81e7-e3430b23c2c5 · outbound

This paper cites Entanglement-assisted capacity of a quantum channel and the reverse Shannon theorem.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Entanglement-assisted capacity of a quantum channel and the reverse Shannon theorem

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Observation a4ae3edd-1720-4c2c-9f35-aaf36b38f748 · outbound

This paper cites an unresolved cited work.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Unresolved cited work

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Resolution: unresolved; no resolver link, observed 2026-08-04T10:05:19.736999Z

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Observation d158dca6-da9f-4f77-8b47-7b2ed2d41353 · outbound

This paper cites Liu and X.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Liu and X

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Source-reported events for the cited work

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Observation 59cfd47a-d0ae-4878-a193-cf532a28cf8b · outbound

This paper cites Regula and R.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Regula and R

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Resolution: unresolved; no resolver link, observed 2026-08-04T10:05:20.011711Z

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Observation d976e94e-c9b4-4f96-ae20-36a34c0f89d6 · outbound

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Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Yuan, Hypothesis testing and entropies of quantum channels, Physical Review A 99, 032317 (2019)

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Observation dacc0def-5c5d-43cd-accb-597097db3a53 · outbound

This paper cites Esposito, K.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Esposito, K

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Resolution: unresolved; no resolver link, observed 2026-08-04T10:05:20.277726Z

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Observation dcdbaeda-297d-4c47-a8bb-7a5d5cb02186 · outbound

This paper cites Esposito and C.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Esposito and C

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Resolution: unresolved; no resolver link, observed 2026-08-04T10:05:20.445560Z

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This paper cites Landauer, Irreversibility and heat generation in the computing process, IBM Journal of Research and Devel- opment 5, 183 (1961).

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Landauer, Irreversibility and heat generation in the computing process, IBM Journal of Research and Devel- opment 5, 183 (1961)

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Observation 5c3c1875-622c-4ddb-8c30-eda8e193b28a · outbound

This paper cites an unresolved cited work.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Unresolved cited work

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Resolution: unresolved; no resolver link, observed 2026-08-04T10:05:20.707221Z

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Observation f86d6192-6797-4860-a005-027414d245f7 · outbound

This paper cites an unresolved cited work.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Unresolved cited work

Reference 99

Resolution: unresolved; no resolver link, observed 2026-08-04T10:05:20.867028Z

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Observation 96e742a2-0c1b-452c-9bd7-b5113b088c7e · outbound

This paper cites Quantum Thermodynamics.

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality Quantum Thermodynamics

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